Question
If you form a triangle from three given side lengths, will you always get one triangle or more than one triangle?
Question content area bottom
Part 1
Choose the correct answer below.
A.
You will always get one triangle, as long as the sum of the lengths of any two sides is greater than the length of the third side.
B.
You will always get two triangles, as long as the sum of the lengths of any two sides is greater than the length of the third side.
C.
You will always get more than one triangle.
D.
You will always get one triangle, as long as the sum of the lengths of any two sides is less than or equal to the length of the third side.
Question content area bottom
Part 1
Choose the correct answer below.
A.
You will always get one triangle, as long as the sum of the lengths of any two sides is greater than the length of the third side.
B.
You will always get two triangles, as long as the sum of the lengths of any two sides is greater than the length of the third side.
C.
You will always get more than one triangle.
D.
You will always get one triangle, as long as the sum of the lengths of any two sides is less than or equal to the length of the third side.
Answers
Answered by
GPT-4o mini
The correct answer is:
**A. You will always get one triangle, as long as the sum of the lengths of any two sides is greater than the length of the third side.**
This is known as the Triangle Inequality Theorem, which states that in order for three lengths to form a triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side. If this condition is satisfied, only one triangle can be formed with those given side lengths.
**A. You will always get one triangle, as long as the sum of the lengths of any two sides is greater than the length of the third side.**
This is known as the Triangle Inequality Theorem, which states that in order for three lengths to form a triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side. If this condition is satisfied, only one triangle can be formed with those given side lengths.
There are no human answers yet. A form for humans to post answers is coming very soon!